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Misu Sheet, owner of the Bedspread Shop, knows his customers will pay no more than $100 for a comforter. Misu Sheet wants to advertise the comforter as "percent markup on cost."What is the equivalent rate of percent markup on cost compared to the 37% markup on selling price?Note: Round your answer to the nearest hundredth percent.

Question

Misu Sheet, owner of the Bedspread Shop, knows his customers will pay no more than $100 for a comforter. Misu Sheet wants to advertise the comforter as "percent markup on cost."What is the equivalent rate of percent markup on cost compared to the 37% markup on selling price?Note: Round your answer to the nearest hundredth percent.

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Solution

To find the equivalent rate of percent markup on cost compared to the 37% markup on selling price, we first need to find the cost price.

Given that the selling price is $100 and the markup on selling price is 37%, we can find the cost price using the formula:

Cost price = Selling price / (1 + Markup on selling price)

Cost price = $100 / (1 + 0.37)

Cost price = $100 / 1.37

Cost price ≈ $72.99

Now, we can find the equivalent rate of percent markup on cost using the formula:

Percent markup on cost = (Selling price - Cost price) / Cost price * 100%

Percent markup on cost = (100100 - 72.99) / $72.99 * 100%

Percent markup on cost ≈ 37.00%

Therefore, the equivalent rate of percent markup on cost compared to the 37% markup on selling price is approximately 37.00%.

This problem has been solved

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